Question

\[ \huge \dfrac{\text{d}}{\text{d}x} x^x \]

Answer 1

oh i got this

Answer 2

so to find the derivative we assume y=x^x

Answer 3

And?

Answer 4

let me this this out

Answer 5

we take the ln of each side and get
ln(y) = ln(x^x) = x(lnx) but now we have to do implicit differentation and b4 i meant let me type*

Answer 6

after that we get

Answer 7

<.< im starting to get mad at how my cpu freezes then i gotta start over

Answer 8

but then we have to multiple each side by the y part which we know is x^x and we get